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21432022023412 = 2271113211129719559
BaseRepresentation
bin1001101111110000010000…
…00011110011110011110100
32210212212210110112122011201
410313320020003303303310
510302120240114222122
6113325422431542244
74341261325256530
oct467701003636364
983785713478151
1021432022023412
1169132a6778490
1224a180498a984
13bc605316b450
1454145b660bc0
152727693d2a27
hex137e080f3cf4

21432022023412 has 192 divisors, whose sum is σ = 50638019604480. Its totient is φ = 7664983603200.

The previous prime is 21432022023329. The next prime is 21432022023421.

21432022023412 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×214320220234122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1095752889 + ... + 1095772447.

It is an arithmetic number, because the mean of its divisors is an integer number (263739685440).

Almost surely, 221432022023412 is an apocalyptic number.

21432022023412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21432022023412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25319009802240).

21432022023412 is an abundant number, since it is smaller than the sum of its proper divisors (29205997581068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21432022023412 is a wasteful number, since it uses less digits than its factorization.

21432022023412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21102 (or 21100 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 2143202 and 2023412, that added together give a palindrome (4166614).

The spelling of 21432022023412 in words is "twenty-one trillion, four hundred thirty-two billion, twenty-two million, twenty-three thousand, four hundred twelve".